Pradyumna (Sanskrit: प्रध्युम्न) is the name of a character in the Srimad Bhagavatam. He was the son of Lord Krishna and Rukmini. Pradyumna is considered as one of the four vyuha avatar of Vishnu. When he was a baby he was abducted by the demon Sambara. He was then cast into the sea and swallowed by a fish, but that fish was caught and carried to the house of Sambara. The fish was opened and the child was found inside. He was given to a woman in Sambara's house to raise. Narada informed her about the true identity of the child. When Pradyumna grew up, he battled the demon Sambara, defeated him. Pradyumna was later killed in a brawl in his father's court at Dwaraka. According to some accounts, Pradyumna was an incarnation of Kama, the god of love.
Pradyumna was son of Lord Krishna and 61st grandson of Adinarayan. His mother was Rukmini, whom Lord Krishna got from her father Bhimkashen Narayan. He was the version of God Kamdev. In the Treta Yuga, Kamdev was burnt by Shiva when he became a barrier to Shiva's meditation. Shiva blessed Kamdev's distraught wife, Rati and promised her that in his next birth Kamdev will be a part of Krishna and Rati will be the daughter of Bhimkaraya and that she will marry him.
Pradyumna is also a name of the Hindu god Vishnu. He is one in 24 Keshava Namas (names), praised in all pujas. It is also the only name in Sanskrit with all the 3 letters joint (referred as जोडाक्षर)
The Harivamsa describes intricate relationships between Krishna Vasudeva, Sankarsana, Pradyumna and Aniruddha that would later form a Vaishnava concept of primary quadrupled expansion, or avatar.
Knowing that their destruction of was near, the Yadavas retired to Prabhasa where they were allotted temporary residences. When their time had come Vrishnis started revelling and drinking. Satyaki who was inebriated laughed at and insulted Kritavarma for killing the Pandava army in midst of their sleep. Pradyumna applauded Satyaki for this which highly incensed Kritavarma. He then taunted Satyaki by saying that he had slain the armless Bhurshiravas who had given up all hostile intentions. Satyaki then narrated the incident when Kritavarma tried to kill Satrajit. Satyabhama upon hearing this became angry and started crying. She then approaced Krishna and sat on his lap greatly increasing his anger towards Kritavarma. Satyaki then rising up in anger said that he would Kritavarma for slaying the warriors of the Pandava army while they were asleep. Having said this he rushed towards Kritavarma and severed his head with a sword. He then started killing the warriors who were on Kritavarma's side. Krishna then ran to stop Satyaki. The Bhojas and the Andhakas incensed at Satyaki surrounded him. Krishna knowing the character of the hour stood there unmoved and let them do whatever they could do. The Bhojas and Andhakas started striking Satyaki with the pots in which they had been eating. Pradyumna upon seeing this became highly enraged and rushed forward for rescuing Satyaki who was engaged with the Bhojas and the Andhakas. However the numbers of the Bhojas and Andhakas overwhelmed the two warriors and they were slain in front of Krishna.
Aniruddha was the son of Pradyumna who married to Usha (daughter of BanaDaitya and granddaughter of Mahabali). He is said to have been very much like his grandfather Krishna, to the extent that he may be a jana avatar, avatar of Vishnu. Aniruddha had a son named Vajra (or Vajranabh), whose lineage is traced to the royal family of Jaisalmer. Vajra (king) was known as the an invincible warrior and would remain among the few survivors of the Yadus' battle. King Vajra then had 16 idols of Krishna and other gods carved from a rare, imperishable stone called Braja and built temples to house these idols in and around Mathura so as to feel the presence of Lord Krishna.